On the Hausdorff dimension of ultrametric subsets in R^n
Metric Geometry
2012-09-26 v3
Abstract
For every e>0, any subset of R^n with Hausdorff dimension larger than (1-e)n must have ultrametric distortion larger than 1/(4e).
Keywords
Cite
@article{arxiv.1205.2094,
title = {On the Hausdorff dimension of ultrametric subsets in R^n},
author = {James R. Lee and Manor Mendel and Mohammad Moharrami},
journal= {arXiv preprint arXiv:1205.2094},
year = {2012}
}
Comments
4 pages, improved layout